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Finding the Fourth Proportional to 1,105.56, 1,656.69 and 693.45

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Solution

The fourth proportional to 1,105.56, 1,656.69 and 693.45 is: 1,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.56 : 1,656.69 = 693.45 : x
  2. Step 2: Convert to fraction form
    1,105.56/1,656.69 = 693.45/x
  3. Step 3: Cross multiply
    1,105.56x = 1,656.69 × 693.45
  4. Step 4: Simplify right side
    1,105.56x = 1,148,831.68
  5. Step 5: Solve for x
    x = 1,148,831.68/1,105.56
  6. Step 6: Final answer
    x = 1,039.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.